On angular momentum operator in quantum field theory
Abstract
Description
Relations between two definitions of (total) angular momentum operator, as a generator of rotations and in the Lagrangian formalism, are explored in quantum field theory. Generally, these definitions result in different angular momentum operators, which are suitable for different purposes in the theory. From the spin and orbital angular momentum operators (in the Lagrangian formalism) are extracted additive terms which are conserved operators and whose sum is the total angular momentum operator.
13 LaTeX pages. The packages AMS-LaTeX and amsfonts are required. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/
13 LaTeX pages. The packages AMS-LaTeX and amsfonts are required. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/